Suppose that you draw 3 cards without replacement from a 52 card deck.
2 answers:
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Answer:
6 inches of tape
Step-by-step explanation:
To find the total amount of tape that Marge used, you can take the measure of each piece () and multiply by the total number of pieces cut (16):
So, Marge used 6 inches of tape altogether.
Answer:
y = 2
Step-by-step explanation:
Given
+ 4 = 6 ( subtract 4 from both sides )
= 2 ( cube both sides )
3y + 2 = 2³ = 8 ( subtract 2 from both sides )
3y = 6 ( divide both sides by 3 )
y = 2
Answer:
Using either method, we obtain:
Step-by-step explanation:
a) By evaluating the integral:
The integral itself can be evaluated by writing the root and exponent of the variable u as:
Then, an antiderivative of this is:
which evaluated between the limits of integration gives:
and now the derivative of this expression with respect to "t" is:
b) by differentiating the integral directly: We use Part 1 of the Fundamental Theorem of Calculus which states:
"If f is continuous on [a,b] then
is continuous on [a,b], differentiable on (a,b) and
Since this this function is continuous starting at zero, and differentiable on values larger than zero, then we can apply the theorem. That means: